395047446784 has 81 divisors (see below), whose sum is σ = 796725015849. Its totient is φ = 195497349120.

The previous prime is 395047446763. The next prime is 395047446793. The reversal of 395047446784 is 487644740593.

The square root of 395047446784 is 628528.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 297103485184 + 97943961600 = 545072^2 + 312960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1639200904 + ... + 1639201144.

Almost surely, 2^395047446784 is an apocalyptic number.

395047446784 is the 628528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395047446784

395047446784 is an abundant number, since it is smaller than the sum of its proper divisors (401677569065).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

395047446784 is an frugal number, since it uses more digits than its factorization.

395047446784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 61.

The spelling of 395047446784 in words is "three hundred ninety-five billion, forty-seven million, four hundred forty-six thousand, seven hundred eighty-four".